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SVEN [57.7K]
1 year ago
12

The sum of the measures of angles xand y is 120°. The measure of the angle x is 12 less than the measure of the angle y. Find x

and y.​
Mathematics
1 answer:
Troyanec [42]1 year ago
5 0

Answer:
x = 54°
y = 66°

Step-by-step explanation:

x + y = 120° (given)
x = y - 12
Then, y + y - 12 = 120°
(y + y) - 12 = 120°
2y - 12 = 120°
2y = 120 + 12 = 132°
y = 132/2 = 66°
x = y - 12 = 66 - 12 = 54°
There you go :)

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What is the probability of rolling a fair die and not getting an outcome less than 5​?
Inessa [10]
There are 6 possible outcomes. And there are 2 outcomes that are not less then 5 which is 6 & 5. So you would get 2/6 or about 33%.
4 0
3 years ago
What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8 ?
podryga [215]

Answer:

y=2/-1+8

Step-by-step explanation:

  • -4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
  • formula is, y2-y1/x2-x1
  • 8-0/0-4=8/-4=4/-2= 2/-1
  • 2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
  • (0,8), 0=x1 8=y1
  • formula is y-y1=m(x-x1)
  • y-8=2/-1(x-0) ---->distribute
  • y-8=2/-1x-0 --->get y alone

          +8          +8

  • so the answer is y=2/-1+8

7 0
3 years ago
Help me please.......... Will Give Brainlest if right
Zigmanuir [339]

Answer:

The answer would be C) 64 and 112

Step-by-step explanation:

If you go through each answer and find which perimeters they would have, you would get 108 for A, 312 for B, 352 for C, and 372 for D. The question says the perimeter is equal to 352 therefore C is the answer.

6 0
2 years ago
The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the
tresset_1 [31]

Answer:

The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.

The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.

2 lengths + 2 Widths = 54. Now, it's just a plug and chug.

2(3 + 3W) + 2W = 54.

6 + 6W + 2W = 54

8W = 48

W=6

L = 3 + 3(6) = 21

To double check: 2(21) + 2(6) = 42 + 12 = 54

The Width is 6 meters, and the Length is 21 meters.

7 0
2 years ago
Please help with this
slava [35]

Answer:

D) x=\frac{-2+-2\sqrt{7} }{3}

Step-by-step explanation:

The quadratic formula is : \frac{-b+-\sqrt{b^2-4ac} }{2a}

A in terms of this question=9

B in terms of the question is 12

C in terms of the question is -24.

This question is an example of a quadratic equation. To work this out you may first need a calculator. The first step is to substitute the values of a,b and c into the formula.  So once substituted the formula of \frac{-b+-\sqrt{b^2-4ac} }{2a} becomes \frac{(-12)+-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}. Although when written in a calculator there will not be a plus and minus button and so you would have to do this separately.

However when substituting the values it would be best practice to put them in brackets.

1) Substitute the values into the equation for +.

\frac{(-12)+\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /1.097167541

2) Substitute the values into the equation for -.

\frac{(-12)-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /-2.430500874

8 0
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